GCE Mathematics 2022 Objective — Question 2
Question 2 of 50 from the General Certificate of Education (GCE) Mathematics 2022 Objective paper, with the correct answer and a full explanation.
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Change 432 (base five) to a number in base three.
- A. 10100 (base three)
- B. 11100 (base three)Correct
- C. 11101 (base three)
- D. 10100 (base three)
Explanation
Convert 432 (base 5) to base 10: 4x5^2+3x5^1+2x5^0=100+15+2=117 (base ten). Convert 117 (base 10) to base 3: 117=11100 (base three).
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